What is the Least Common Multiple of 84083 and 84088?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 84083 and 84088 is 7070371304.
LCM(84083,84088) = 7070371304
Least Common Multiple of 84083 and 84088 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84083 and 84088, than apply into the LCM equation.
GCF(84083,84088) = 1
LCM(84083,84088) = ( 84083 × 84088) / 1
LCM(84083,84088) = 7070371304 / 1
LCM(84083,84088) = 7070371304
Least Common Multiple (LCM) of 84083 and 84088 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84083 and 84088. First we will calculate the prime factors of 84083 and 84088.
Prime Factorization of 84083
Prime factors of 84083 are 47, 1789. Prime factorization of 84083 in exponential form is:
84083 = 471 × 17891
Prime Factorization of 84088
Prime factors of 84088 are 2, 23, 457. Prime factorization of 84088 in exponential form is:
84088 = 23 × 231 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 84083 and 84088.
LCM(84083,84088) = 471 × 17891 × 23 × 231 × 4571
LCM(84083,84088) = 7070371304
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